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SCALCET$816\mathrm{.}5\mathrm{.}024.$NV

If $f$ is a scalar field and $F,G$ are vector fields, then $fF,F*G,$ and $FG$ are q sollowing.

$(fF)(x,y,z)=f(x,y,z)F(x,y,z)$

$(F*G)(x,y,z)=F(x,y,z)*G(x,y,z)$

$(FG)(x,y,z)=F(x,y,z)G(x,y,z)$

Find an identical expression, assuming that the appropriate partial derivatives exist and are continuous.

curl$(FG)$

curl F curl G

G $$ curl F $-$ F $$ curl G

curl $F$ divG

divF divG